A142410 - OEIS

%I #11 Sep 08 2022 08:45:36

%S 37,181,229,277,373,421,613,661,709,757,853,997,1093,1237,1381,1429,

%T 1621,1669,1861,2053,2293,2341,2389,2437,2677,2917,3061,3109,3253,

%U 3301,3541,3637,3733,3877,4021,4261,4357,4549,4597,4789,4933,5077,5413,5557,5653

%N Primes congruent to 37 mod 48.

%H Vincenzo Librandi, <a href="/A142410/b142410.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1000]], MemberQ[{37}, Mod[#, 48]] &] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[37,6000,48],PrimeQ] (* _Harvey P. Dale_, Dec 06 2012 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 37]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%48==37 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008